Home
Class 6
MATHS
(a)    Is every diameter of a circle al...

(a)    Is every diameter of a circle also a chord?(b) Is every chord of a circle also a diameter?

Text Solution

AI Generated Solution

**Step-by-Step Solution:** (a) To determine if every diameter of a circle is also a chord, we first need to understand the definitions of both terms: 1. **Circle**: A circle is a set of points that are all the same distance from a fixed point called the center. 2. **Chord**: A chord is a line segment whose endpoints lie on the circle. 3. **Diameter**: A diameter is a special type of chord that passes through the center of the circle. ...
Promotional Banner

Topper's Solved these Questions

  • BASIC GEOMETRICAL IDEAS

    NCERT ENGLISH|Exercise EXERCISE 4.1|6 Videos

  • ALGEBRA

    NCERT ENGLISH|Exercise EXERCISE 11.4|3 Videos

  • DATA HANDLING

    NCERT ENGLISH|Exercise EXERCISE 9.1|7 Videos

Similar Questions

Explore conceptually related problems

A diameter of a circle is a chord that ..... the centre of the circle.

The diameter of a circle is its ___________ chord.

Fill in the blanks: (i) The diameter of a circle is … times its radius (ii) The diameter of a circle is the … chord of the circle. (iii) The diameter of a circle pass through…. (iv) A chord of a circle is a line segment with its end points on the … (v) If we join any two points on a circle by a line segment, we obtain… (vi) A radius of a circle is a line segment with one end at …. and the other end at…. (vii) All radii of a circle are… (viii) The diameters of circle are… (ix) The total number of diameters of circle is… (x) Every point on a circle is…from its centre.. (xi) A chord of a circle contains exactly….points of the circle.. (xii) A diameter is the longest… (xiii) Concentric circles are circle having….

If a diameter of a circle bisects each of the two chords of a circle, prove that the chords are parallel.

If a diameter of a circle bisects each of the two chords of a circle, prove that the chords are parallel.

Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.

In each of the following , state it the statement is true (T) or false (F): (i) Every circle has a centre. (ii) The centre of a circle is a point of the circle. (iii) Any two radii of a circle make up diameter. (iv) Every chord of a circle is parallel to some diameter of the circle. (v) A circle is symmetric about each of its diameter. (vi) The diameter is twice the radius. (vii) A radius is a chord of the circle. (viii) Concentric circles have the same radii. (ix) The nearer a chord to the centre of a circle, the longer is its length.

The end points of a diameter of a circle are (1,-1) and (3,5). Find the equation of the circle. Also find its centre and radius.

In the adjoinig figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angleAEB=60^@ .

The radical centre of the circles drawn on the focal chords of y^(2)=4ax as diameters, is